Mathematics

Problem

For the function

g(x)=\sin x+\dfrac{x}{2}

on the interval

[0,2\pi]

, at which of the following

x

-values does

g

attain its absolute maximum on the interval? a)

\dfrac{\pi}{2}

\dfrac{4\pi}{3}

2\pi

\dfrac{2\pi}{3}